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Questions tagged [number-sequence]

A puzzle in which the hidden pattern behind a given sequence of numbers (and, often, the next term) is to be found. Use with [sequence]

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0 votes
1 answer
106 views

What is the pattern in the sequence? -1, 3/2, -13/6, 25/8

It happens to be useful to me to understand the pattern in this list of numbers: $$-1, \frac{3}{2}, -\frac{13}6, \frac{25}8, -\frac{541}{120}, \frac{1561}{240}, -\frac{47293}{5040}, \frac{36389}{2688},...
1 vote
1 answer
213 views

Number Sequence: 1, 1, 2, 4, 3, 9, 4, 61, ...?

Forgive me for the unoriginal title, it's been a while since I made a puzzle. Just a simple number sequence, find X and give reasoning/pattern 1, 1, 2, 4, 3, 9, 4, 61, 5, 52, 6, 63, 7, 94, 8, X ...
2 votes
1 answer
96 views

Number sequence puzzle: 14, 32, 69, 05,?

I made this puzzle on my own, feel free to solve it. Sequence is as follows: 14, 32, 69, 05, ?
-1 votes
1 answer
150 views

Numerical sequence 942, 138, 424,?

Homemade number sequence puzzle, quite easy. Sequence: 942, 138, 424, ?
3 votes
1 answer
295 views

Number salad with a meaning

617181419920141 128131119 1331152419 54141131811 Your goal is to explain what number sequence should come next and what it means.
2 votes
1 answer
112 views

Meaning of sequence 11011010000000111000000000

What is the meaning and significance of the following sequence of digits? 11011010000000111000000000 Hint:
0 votes
1 answer
255 views

Numerical sequence puzzle: 552175, 228496, 198479, 583317, 140554, 114383, 117045, ?,?

So here's the sequence, that I composed on my own. Think trees and 🟡 : 🟡 552175, 228496, 198479, 583317, 140554, 114419, 117046, ?, ?
2 votes
0 answers
112 views

Continuing the hexadecimal sequence 9bf66a6a87, 9bfd91c857, 9c0501e2ae, 9c0991af27, 9c0d27e6ec, [closed]

Given the following sequence of hexadecimals, figure out how to generate the next few in the sequence: 9bf66a6a87 9bfd91c857 9c0501e2ae 9c0991af27 9c0d27e6ec My ...
-1 votes
4 answers
1k views

Sequences on an IQ Test

I found this IQ test (http://free.ultimaiq.net/nse.htm) and can't seem to solve questions 18 and 19: Q18: 120, 10, 3, ?, ? Q19: 41, 23, 61, ?
9 votes
1 answer
846 views

2,6,?,30,-270 number sequence

Got this number sequence puzzle from a friend.
-1 votes
1 answer
115 views

Numerical Sequence Puzzle: 8388607, 536870911, 2147483647,?

Sequence puzzle made by me. 8388607, 536870911, 2147483647, ?
5 votes
1 answer
219 views

Homemade number sequence puzzle

A homemade number sequence puzzle. The sequence is as follows: 001, 1001, 00001, ?, 001001
8 votes
1 answer
174 views

Two numerical sequences

Two numerical sequences made by me. Make sure to provide reasoning. 90,81,65,29,9,? 46656, 823543, 16777216, ?
14 votes
2 answers
2k views

4,4,2,6,2,10,4,_ sequence from 4th grade packet

The sequence (from my child's "for fun" challenge packet, not for credit or graded) is: 4,4,2,6,2,10,4,_ The possible answers are: A) 15 B) 20 C) 25 D) 28
3 votes
1 answer
319 views

The mystery of 107 numbers

Find the algorithm that was used to create the following sequence of numbers: BAH BAA BBA BAD BBD BAG BBG BAJ BBJ BBC BCC BBF BCF BBI BCI BCB BDB BCE BDE BCH BDH BDA BEA BDD BED BDG BEG BDJ BEJ BEC ...
4 votes
1 answer
1k views

1, 2, 3, 10, ... Another find-the-next-number-in-the-sequence puzzle

Can you spot the pattern and continue the following sequence? 1, 2, 3, 10, 12, 16, 25, 37, 55, 81, 100, ... Hints:
2 votes
2 answers
938 views

2759, 4248, 1152,?

What comes next? 2759, 4248, 1152, ? What is the pattern? The op got it from this site: https://free.ultimaiq.net/nse.htm
4 votes
1 answer
268 views

mathematical magic trick

Here’s a conversation that took place between two students. A: Hey, want to see a magic trick? B: Sure, how does it go? A: Think of any number. Any nonnegative integer, I should say. B: Okay. A: ...
4 votes
1 answer
690 views

Few enigmatic puzzles [closed]

?, 63264, 12825, 65121, 02420, 48409 REDYPS, Y = ? 8, 33, 5 : X, II, ? Gods in space (7 letters) = 51151 = 8812, 22334 = 8459, 99111 = 2110910, 27772 = ?
4 votes
1 answer
755 views

Numbers turned into a number turned into numbers (start with the smallest)

What number should replace the question mark? Explain why. Hint 1
4 votes
2 answers
207 views

Strings of Kind Numbers

A positive integer is said to be “kind" if it is divisible by one of its digits other than 1 (https://oeis.org/A185186). A kind string of numbers is a finite sequence of numbers all of whose ...
5 votes
1 answer
267 views

Simple number sequence puzzle

Complete the sequence: 8, 6, 7, 3, 6, 5, 4, 5, 5, 2, ?
11 votes
1 answer
569 views

List Roman numerals to minimize total distance

This is based on a discussion with @mousetail. List the numbers from 1-100 in Roman numerals in the order that minimizes the total sum of the Levenshtein distances between consecutive numbers.
1 vote
1 answer
139 views

Relation Between The Year And The Day

Today is January 22, the 22nd day of the year 2024. I chose today because 22 is my favorite number. Now for the problem. Try to relate 22 to 2024 using math. For example, 58 is related to 271 because ...
10 votes
1 answer
1k views

What is the earliest 2024 can appear in an S-sequence?

A Sloane Sequence (or S-sequence) is any sequence of different positive integers begining with 1 in which the nth term (after the first) is the previous term plus n, times n, minus n, or divided by n ...
12 votes
2 answers
644 views

Arithmetic-progression-free sequences

This question Sudokus with no 3-term arithmetic progressions within made me wonder about the following question. What is the longest sequence composed of the integers 1..N (or 0..N-1 if you have a ...
-1 votes
1 answer
168 views

icosahedral net [closed]

The net of $20$ triangles shown to the right can be folded to form a regular icosahedron. Inside each of the triangular faces, write a number from $1$ to $20$ with each number used exactly once. Any ...
5 votes
1 answer
958 views

Given the length of sequences with different seed values, what comes next? 1, 2, 4, 5, 11, 22, etc

Edit: Apparently this site has had a few too many what comes next puzzles without anything to go off of so I've decided to make this a different albeit a bit easier puzzle. Sequences generated by a ...
10 votes
3 answers
22k views

Numbers on a dartboard - we know why they are in that order but how was it calculated without computers?

The arrangement of the numbers around the circumference of a standard dart board is as shown below 20 1 18 4 13 6 10 15 2 17 3 19 7 16 8 11 14 9 12 5 ...
2 votes
0 answers
310 views

What's the missing number related to primes?

I would like to draw your attention to this mathematical sequence related to prime numbers I've created and ask what the missing number is. 2, 5, 27, 182, 2310, 27200, ______, 8998400, 223092870, ...
2 votes
1 answer
320 views

Number sequence puzzle: strings of 0s and 1s

How can I solve this sequence? 011010, 100010, 100010, 100010, 000010, ?, 100010 https://free.ultimaiq.net/nse.htm
1 vote
1 answer
376 views

Two number sequence puzzles

123456, ?, 32407290, 128028806480 122540, 577697, ?, ? Both puzzles are from - https://free.ultimaiq.net/nse.htm
1 vote
2 answers
304 views

Numeric progressive matrix: 2-7-5, 2-3-4, 10-21-?

This is an interesting question that I got from an IQ interview test. This can have multiple answers but need a good explanation.
8 votes
1 answer
533 views

Find the pattern of the sequence of prime numbers 17 23 5 1013 2027 13

A friend gave me a sequence of prime numbers 17 23 5 1013 2027 13 and said that they have a pattern. I tried to find something but I am stumped by the fact that the numbers first increase, then kill, ...
8 votes
2 answers
849 views

A very presentable number sequence

(The title holds a clue) 12,22,30,36,40,42,42,40… Here is a finite sequence. Can you tell me the sum of all of its numbers?
5 votes
1 answer
307 views

What are the next 3 terms: 19, 43, 59, ...?

What are the next 3 terms in the following finite sequence? 19, 43, 59, 23, 79, 83, 109, 463, 569, 263, ?, ?, ?
33 votes
1 answer
1k views

A number sequence in disguise

What number should replace the question mark? Explain why. ...
-1 votes
1 answer
133 views

Numbers given: 2, 3, 6, 15, choice of answers: 24, 25, 36, 64? [closed]

Math question, numbers are 2. 3. 6. 15 Choice of answers given are A.24 B.25 C.36 D.64 What is the correct choice please?
3 votes
1 answer
381 views

Find the correct pattern in this series

My uncle send me a puzzle, and neither of us can solve it. The series seems to have an obvious pattern, however the given answers do not include that pattern. -2, 4, -6, 8, -10, 12, ..., ... a) 39, ...
0 votes
1 answer
212 views

Find the wrong number in the given series

I found this question in an Indian Highschool Reasoning Olympiad. I tried looking for any relation using powers of 2 but failed.
20 votes
2 answers
1k views

A symmetrical number sequence

What 5-letter word does this sequence represent? ...
22 votes
0 answers
2k views

REALLY important days in history

@Z. Dailey asks a mathematical puzzle Important days in history... and to come! with a series of dates in years 1973, 1978, 1983, 1992, 2005. My puzzle asks the question: What is the previous date in ...
1 vote
5 answers
2k views

What is next letter in sequence: B, D, G, J, L, ___?

My answer is P. But I am not sure as there is not sufficient data to support this. B(2), ____, G(7), ____, L(12), _____ (alternating sequence of difference 5: 2, 7, 12, 17,...) ____, D(4), ____, J(10),...
-7 votes
1 answer
200 views

Need help solving two number puzzles

1st Puzzle: Can you find the next two numbers in the sequence: 122540, 577697, ?, ? 2nd Puzzle: Solve this sequence: 28) 123456, 777, 154, ?, ? Both questions are from https://free.ultimaiq.net/nse....
5 votes
1 answer
601 views

What is the next number in the following sequence: 0, 4, 8, 21, 52, 65, 96,?

What is the next number in the following sequence: 0, 4, 8, 21, 52, 65, 96, ? To allow new users to solve this puzzle and earn reputation points, I encourage all users whose reputation is 200 or ...
5 votes
2 answers
585 views

please Extend this list of Units

Given the following list of four corresponding series of numbers, what would the fifth line look like? 1 : 1.4 / 3 2 : 3 / 2 | 1 : 2 / 6 2 : 3 / 2 1 : 2 / 3 Hint 1: This puzzle was inspired by the ...
2 votes
1 answer
142 views

If 123x45 = 1, 22+222=0, 8979:4=5, 56319=2 what is 781-32=?

If 123x45 = 1, 22+222=0, 8979:4=5, 56319=2 what could be the solution to 781-32=? Found it on an maths board and became desperate over time.
6 votes
1 answer
503 views

A healthy number sequence

What should b the missing number? 1, 2, 3, 5, 6, 7, ?, 12
2 votes
3 answers
356 views

Next term in sequence [closed]

Came across these 3 sequences to find the next number denoted by '?' in a test yesterday and was unable to select the right answer from the options given 1,6,19,54,151,426,? - Options given are 1415,...
6 votes
1 answer
400 views

Find the ciphering method 2

Link to the entire series. The message: 3, 53, 48751, 9247757, 294914580539 The answer is a 13 letter word: UNDERSTANDING Hint 1:

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